Search Results - "Derivatives of functions in infinite-dimensional spaces"

Optimality conditions for directional efficiency in set-valued optimization

Authors: Maxim, Diana-Elena

Source: Pacific Journal of Optimization. 21:1-16

Subject Terms: directional efficiency, openness, Derivatives of functions in infinite-dimensional spaces, set-valued optimization, sum stability, Optimality conditions and duality in mathematical programming, Set-valued and variational analysis, Set-valued maps in general topology

File Description: application/xml

Access URL: https://zbmath.org/8027391
https://doi.org/10.61208/pjo-2023-010

Smoothing effects and maximal Hölder regularity for non-autonomous Kolmogorov equations in infinite dimension

Authors: Cerrai, Sandra Lunardi, Alessandra

Source: Journal of Differential Equations. 434:113245

Subject Terms: Ornstein-Uhlenbeck, Schauder estimates, PDEs on infinite-dimensional (e.g., function) spaces (= PDEs in infinitely many variables), Mathematics - Analysis of PDEs, Derivatives of functions in infinite-dimensional spaces, Probability (math.PR), Transition functions, generators and resolvents, FOS: Mathematics, smoothing, Mathematics - Probability, infinite dimensional analysis, Analysis of PDEs (math.AP)

File Description: application/xml

Access URL: http://arxiv.org/abs/2111.05421

On the strongly subdifferentiable points in Lipschitz-free spaces

Authors: Christian Cobollo Sheldon Dantas Petr Hájek et al.

Contributors: Christian Cobollo Sheldon Dantas Petr Hájek et al.

Source: RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Universitat Politècnica de València (UPV)

Subject Terms: strong subdifferentiability, Lipschitz-free spaces, Mathematics - Functional Analysis, Gâteaux differentiability, Geometry and structure of normed linear spaces, Strong subdifferentiability, Derivatives of functions in infinite-dimensional spaces, Fréchet differentiability, Uniformly discrete spaces, FOS: Mathematics, uniformly discrete spaces, Fréchet and Gateaux differentiability in optimization, Functional Analysis (math.FA)

File Description: application/pdf; application/xml

Access URL: http://arxiv.org/abs/2406.01269
https://riunet.upv.es/handle/10251/211988
https://zbmath.org/7952570
https://doi.org/10.1007/s43037-024-00389-z
https://hdl.handle.net/10251/211988
https://doi.org/10.1007/s43037-024-00389-z

Maximal directional derivatives in Laakso space

Authors: Marco Capolli Andrea Pinamonti Gareth Speight

Source: Communications in Contemporary Mathematics. 27

Subject Terms: analysis on metric spaces, differentiability, Laakso spaces, Lipschitz functions, maximal directional derivatives, porous sets, Derivatives of functions in infinite-dimensional spaces, 46T20 (Primary), 49J52, 49Q15 (Secondary), Nonsmooth analysis, Geometric measure and integration theory, integral and normal currents in optimization, Metric Geometry (math.MG), 01 natural sciences, Continuous and differentiable maps in nonlinear functional analysis, Functional Analysis (math.FA), Mathematics - Functional Analysis, Mathematics - Metric Geometry, 0103 physical sciences, FOS: Mathematics, 0101 mathematics

File Description: application/xml

Access URL: http://arxiv.org/abs/2208.03361
https://hdl.handle.net/11572/438272
https://doi.org/10.1142/S0219199724500172

On symmetric $G$-differential and convex functionals in Banach spaces: On symmetric G-differential and convex functionals in Banach spaces

Authors: Burysek, Slavomir

Source: Publicationes Mathematicae Debrecen. 17:145-161

Subject Terms: Derivatives of functions in infinite-dimensional spaces, Equations involving nonlinear operators (general), 0101 mathematics, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/3391566

Continuously differentiable spaces

Authors: Venkataraman, M. Jeyamma, S.

Source: Publicationes Mathematicae Debrecen. 18:1-8

Subject Terms: Other ''topological' linear spaces (convergence spaces, ranked spaces, spaces with a metric taking values in an ordered structure more general than \(\mathbb{R}\), etc.), Distributions, generalized functions, distribution spaces, Derivatives of functions in infinite-dimensional spaces, 0101 mathematics, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/3391518

Uniform Gâteaux smoothness of higher order on separable Banach spaces

Authors: Bednařík, D. University of Hradec Králové. Czech Republic

Contributors: Bednařík, D. University of Hradec Králové. Czech Republic

Source: Dehesa. Repositorio Institucional de la Universidad de Extremadura
Universidad de Extremadura (UEX)

Subject Terms: Geometry and structure of normed linear spaces, Isomorphic theory (including renorming) of Banach spaces, Derivatives of functions in infinite-dimensional spaces, Gâteaux differentiable, 1202.03 Álgebra y Espacios de Banach, equivalent norm, 1202 Análisis y Análisis Funcional, uniformly Gâteaux differentiable, separable Banach spaces, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), bump function, Espacios de Banach

File Description: application/pdf; application/xml

Access URL: http://hdl.handle.net/10662/18959
https://zbmath.org/1791682

A CRITERION OF THE EXISTENCE OF GENERALIZED INTEGRAL VARIATIONAL-PRINCIPLES FOR GIVEN EQUATIONS: A criterion of the existence of generalized integral variational principles for given equations

Authors: SAVCHIN V.M.

Source: Differential Equations

Subject Terms: local bilinear form, Derivatives of functions in infinite-dimensional spaces, Equations involving nonlinear operators (general), nonlinear operator, Variational inequalities, potential operator

File Description: application/xml

Access URL: https://zbmath.org/687546
https://openrepository.ru/article?id=260685

Sur un theoreme de Marcinkiewicz: Sur un théorème de Marcinkiewicz

Authors: Grande, Eulalia

Subject Terms: Derivatives of functions in infinite-dimensional spaces, Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems, on a theorem of J. Marcinkiewicz, separable Banach spaces, differentiability

File Description: application/xml; application/pdf

Access URL: https://zbmath.org/3908745
http://repozytorium.ukw.edu.pl//handle/item/5947

Infinite-derivative linearized gravity in convolutional form

Authors: Carlos Heredia Ivan Kolář Josep Llosa et al.

Source: Articles publicats en revistes (Física Quàntica i Astrofísica)
Dipòsit Digital de la UB
instname

Subject Terms: High Energy Physics - Theory, Derivatives of functions in infinite-dimensional spaces, infinite derivative gravity, Física matemàtica, distributions, FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), Convolucions (Matemàtica), 01 natural sciences, General Relativity and Quantum Cosmology, Convolution as an integral transform, Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type, 0103 physical sciences, convolution, Teoria quàntica, Mathematical Physics, Convolutions (Mathematics), Asymptotic distributions of eigenvalues in context of PDEs, Mathematical Physics (math-ph), Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems, Fourier transfom, High Energy Physics - Theory (hep-th), Quantum theory, Mathematical physics, Gravitational energy and conservation laws, groups of motions, Nonlocal and multipoint boundary value problems for ordinary differential equations

File Description: application/pdf; application/xml

Access URL: http://arxiv.org/pdf/2112.05397
http://arxiv.org/abs/2112.05397
https://hdl.handle.net/2445/192834
https://zbmath.org/7502317
https://doi.org/10.1088/1361-6382/ac5a14
http://hdl.handle.net/2445/192834

Swimming below icebergs

Authors: Stephen Simons

Source: Lecture Notes in Economics and Mathematical Systems ISBN: 9783540587675

Subject Terms: sublinear functional, Derivatives of functions in infinite-dimensional spaces, Rockafellar's maximal monotonicity theorem, Nonsmooth analysis, 0211 other engineering and technologies, Ekeland's variational principle, 02 engineering and technology, Theorems of Hahn-Banach type, extension and lifting of functionals and operators, existence of subtangents, maximal monotone operator, 01 natural sciences, 6. Clean water, Geometry and structure of normed linear spaces, convex lower surface, Hahn-Banach theorem, 13. Climate action, directional derivative of a convex function, Applications of operator theory in optimization, convex analysis, mathematical programming, economics, epigraphs of proper convex lower semi-continuous functions, 14. Life underwater, maximal monotonicity, 0101 mathematics, subdifferentials, Set-valued operators, bounded closed convex sets

File Description: application/xml

Access URL: https://zbmath.org/627479
https://doi.org/10.1007/bf01027109
https://link.springer.com/content/pdf/10.1007/BF01027109.pdf
https://link.springer.com/chapter/10.1007/978-3-642-48719-4_20
https://rd.springer.com/chapter/10.1007/978-3-642-48719-4_20

On the range of the derivative of Gâteaux-smooth functions on separable banach spaces: On the range of the derivative of Gâteaux-smooth functions on separable Banach spaces

Authors: Deville, R. Hájek, P. (Petr Pavel)

Source: Israel Journal of Mathematics. 145:257-269

Subject Terms: Gâteaux differentiability, Banach space, Derivatives of functions in infinite-dimensional spaces, Gâteaux-Smooth functions, Lipschitz function, 0101 mathematics, 01 natural sciences

File Description: application/xml

Access URL: http://users.math.cas.cz/~hajek/gat-rang.pdf
https://experts.illinois.edu/en/publications/on-the-range-of-the-derivative-of-gateaux-smooth-functions-on-sep
https://link.springer.com/article/10.1007/BF02786693
https://link.springer.com/content/pdf/10.1007/BF02786693.pdf
https://users.math.cas.cz/~hajek/gat-rang.pdf
http://hdl.handle.net/11104/0116106

Chain differentials with an application to the mathematical fear operator

Authors: Pierre Bernhard

Source: Nonlinear Analysis: Theory, Methods & Applications. 62:1225-1233

Subject Terms: Derivatives of functions in infinite-dimensional spaces, minimax control, derivatives, 0211 other engineering and technologies, 0202 electrical engineering, electronic engineering, information engineering, chain rule, 02 engineering and technology

File Description: application/xml

Access URL: https://www.sciencedirect.com/science/article/pii/S0362546X05004840
https://www-sop.inria.fr/members/Pierre.Bernhard/publications/ber05.pdf

ON THE PRODUCT OF GÂTEAUX DIFFERENTIABILITY LOCALLY CONVEX SPACES: On the product of Gâteaux differentiability locally convex spaces

Authors: Shen, X. S. Cheng, L. X.

Source: Acta Mathematica Scientia. 25:395-400

Subject Terms: General theory of locally convex spaces, Derivatives of functions in infinite-dimensional spaces, ASPLUND SPACES, BANACH-SPACES, 0101 mathematics, GENERIC FRECHET DIFFERENTIABILITY, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/2215137
https://doi.org/10.1016/s0252-9602(05)60002-1
http://121.43.60.238/sxwlxbB/CN/abstract/abstract9567.shtml
https://www.sciencedirect.com/science/article/pii/S0252960205600021

An Approximate Rolle’s Theorem for Polynomials of Degree Four in a Hilbert Space: An approximate Rolle's theorem for polynomials of degree four in a Hilbert space

Authors: Jesús Ferrer

Source: Publications of the Research Institute for Mathematical Sciences. 41:375-384

Subject Terms: Calculus of functions on infinite-dimensional spaces, Derivatives of functions in infinite-dimensional spaces, (Spaces of) multilinear mappings, polynomials, 0101 mathematics, 01 natural sciences

File Description: application/xml

Access URL: http://www.ems-ph.org/journals/show_pdf.php?issn=0034-5318&vol=41&iss=2&rank=7
https://zbmath.org/2230584
https://doi.org/10.2977/prims/1145475359
http://www.kurims.kyoto-u.ac.jp/~prims/pdf/41-2/41-2-16.pdf
https://www.kurims.kyoto-u.ac.jp/~prims/pdf/41-2/41-2-16.pdf
https://www.ems-ph.org/journals/show_pdf.php?issn=0034-5318&vol=41&iss=2&rank=7
http://ci.nii.ac.jp/naid/110001240007

Set valued functions in Fréchet spaces: Continuity, Hukuhara differentiability and applications to set differential equations: Set valued functions in Fréchet spaces: continuity, Hukuhara differentiability and applications to set differential equations

Authors: George Galanis T. Gnana Bhaskar V. Lakshmikantham et al.

Source: Nonlinear Analysis: Theory, Methods & Applications. 61:559-575

Subject Terms: Derivatives of functions in infinite-dimensional spaces, Set differential equations, 0211 other engineering and technologies, Differentiability questions for infinite-dimensional manifolds, 02 engineering and technology, 0101 mathematics, 01 natural sciences, Hukuhara differentiability, Fréchet spaces, Set-valued and variational analysis, Ordinary differential inclusions

File Description: application/xml

Access URL: https://zbmath.org/2167833
https://doi.org/10.1016/j.na.2005.01.004
https://www.sciencedirect.com/science/article/pii/S0362546X05000155

Prox-regular functions in Hilbert spaces

Authors: Frédéric Bernard Lionel Thibault

Source: Journal of Mathematical Analysis and Applications. 303:1-14

Subject Terms: Calculus of functions on infinite-dimensional spaces, proximal mapping, Derivatives of functions in infinite-dimensional spaces, prox-regular function, Applied Mathematics, Nonsmooth analysis, Differentiation theory (Gateaux, Fréchet, etc.) on manifolds, subdifferential, primal lower nice function, 0101 mathematics, 01 natural sciences, Analysis, Moreau envelope

File Description: application/xml

Access URL: https://zbmath.org/2141737
https://doi.org/10.1016/j.jmaa.2004.06.003
https://www.sciencedirect.com/science/article/abs/pii/S0022247X04004718
http://ui.adsabs.harvard.edu/abs/2005JMAA..303....1B/abstract
https://core.ac.uk/display/82003022
https://www.sciencedirect.com/science/article/pii/S0022247X04004718

Gateaux derivative of 𝐵(𝐻) norm: Gâteaux derivative of \(B(H)\) norm

Authors: Dragoljub J. Kečkić

Source: Proceedings of the American Mathematical Society. 133:2061-2067

Subject Terms: Derivatives of functions in infinite-dimensional spaces, Isometric theory of Banach spaces, Linear spaces of operators, Norms (inequalities, more than one norm, etc.) of linear operators, 0101 mathematics, 01 natural sciences

File Description: application/xml

Access URL: https://www.ams.org/proc/2005-133-07/S0002-9939-05-07746-4/S0002-9939-05-07746-4.pdf
https://www.ams.org/journals/proc/2005-133-07/S0002-9939-05-07746-4/home.html
https://www.ams.org/proc/2005-133-07/S0002-9939-05-07746-4/S0002-9939-05-07746-4.pdf
https://dialnet.unirioja.es/servlet/articulo?codigo=1244714
https://www.jstor.org/stable/4097548
https://documat.unirioja.es/servlet/articulo?codigo=1244714

Porosity and differentiability in smooth Banach spaces

Authors: Pando Georgiev

Source: Proceedings of the American Mathematical Society. 133:1621-1628

Subject Terms: convex function, Geometry and structure of normed linear spaces, Derivatives of functions in infinite-dimensional spaces, Nonsmooth analysis, 0101 mathematics, Fréchet and Gateaux differentiability in optimization, Set-valued operators, Monotone operators and generalizations, 01 natural sciences, Set-valued and variational analysis, submonotone operator, differentiability, Asplund space

File Description: application/xml

Access URL: https://www.ams.org/proc/2005-133-06/S0002-9939-05-07736-1/S0002-9939-05-07736-1.pdf
https://www.jstor.org/stable/4097698
https://www.ams.org/proc/2005-133-06/S0002-9939-05-07736-1/S0002-9939-05-07736-1.pdf
https://www.ams.org/journals/proc/2005-133-06/S0002-9939-05-07736-1/home.html

A note on a class of homeomorphisms between Banach spaces

Authors: Piotr Fijałkowski

Source: Colloquium Mathematicum. 103:169-172

Subject Terms: homeomorphisms between Banach spaces, local invertibility, Derivatives of functions in infinite-dimensional spaces, (Spaces of) multilinear mappings, polynomials, Multilinear algebra, tensor calculus, 0211 other engineering and technologies, invertibility, 02 engineering and technology, 0101 mathematics, 01 natural sciences, Continuous and differentiable maps in nonlinear functional analysis, multilinear operators

File Description: application/xml

Access URL: https://www.impan.pl/shop/publication/transaction/download/product/87870?download.pdf
https://zbmath.org/2211304
https://doi.org/10.4064/cm103-2-2
https://eudml.org/doc/284162
https://www.impan.pl/shop/publication/transaction/download/product/87870?download.pdf
http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.bwnjournal-article-doi-10_4064-cm103-2-2